This 27-page resource introduces all the knowledge and skills required for the topic of integration in the AS part of the new A level. In every section it contains notes then examples to work through with your class, followed by an exercise of questions for students to attempt themselves (answers included). The sections are: Finding an expression for a curve from its gradient function / derivative Simplifying into the required form for integration Determining the equation of a curve from its derivative and a point it passes through Definite integrals Finding the area between a curve and the x-axis Finding the area between a curve and a straight line This projectable and printable resource will save you having to write out any notes/examples or draw any graphs when teaching the topic, and will make things easier for your students as they can just work directly on the given diagrams and spaces provided for solutions. Also included is a 4-page (20 questions) assessment that can be used as a homework or a test. Fully worked solutions are provided. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

This 15-page resource covers all the required knowledge and techniques for hypothesis testing in the A2 part of the new A level. It contains detailed notes, examples to work through with your class, and exercises of questions for students to attempt themselves (answers included). The topics covered are: The distribution of the sampling mean Hypothesis tests using sample means Hypothesis tests using correlation coefficients This projectable and printable resource will save you having to write out or create any notes/examples when teaching this topic. It also increases how much you can get through in lessons as students don’t have to copy notes/questions and can work directly onto spaces provided for solutions. You could also email/print some or all of this for students who have missed lessons or need additional notes/practice/revision. Also included is a 3-page assessment that covers the whole topic. Fully worked solutions are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

This 28-page resource covers all the required knowledge for the normal distribution in the A2 part of the new A level. In every section it contains notes and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections are: 1. Discrete vs continuous random variables 2. Properties of the normal distribution curve 3. Using a calculator to find probabilities 4. z-scores 5. Standard normal distribution 6. Conditional probability 7. Questions that involve both the normal and binomial distribution 8. Inverse normal distribution 9. Finding unknown parameters 10. Using the normal distribution as a model 11. Approximating a binomial by a normal This projectable and printable resource will save you having to write out or create any notes/examples when teaching this topic. It also increases how much you can get through in lessons as students don’t have to copy notes/questions and can work directly onto spaces provided for solutions. You could also email/print some or all of this for students who have missed lessons or need additional notes/practice/revision. Also included is a 2-page assessment that can be used as a homework or a test. Fully worked solutions are provided. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

I created these resources so that my younger classes could get involved in celebrating pi day. In the first resource they choose a colour for each digit 0-9 then colour in a circle for each of the first 200 digits, which should produce a nice random pattern of coloured dots. Each of the other resources involve finding how often each digit 0-9 appears within the first 200 digits and then representing this on a bar chart or pie chart. The frequencies are: 19, 20, 24, 20, 22, 20, 15, 12, 25, 23 Happy pi day!

This is a simple wordsearch I created so that my younger classes could get involved in pi day. Solution is included.

This 21-page resource covers all the required knowledge for conditional probability in the A2 part of the new A level. In every section it contains examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections are: Venn diagrams and set notation (revision of AS level work) Conditional probability using Venn diagrams Conditional probability using two-way tables Conditional probability using tree diagrams This projectable and printable resource will save you having to draw any tables/diagrams when teaching the topic and will make things easier for your students as they can just work directly on the provided tables and diagrams. The 2 page assessment covers all aspects of the topic and fully worked solutions are provided. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

This worksheet focuses on using the sum of angles in a quadrilateral to find missing angles. It assumes that students are already familiar with angles in triangles, on a straight line, vertically opposite angles, and angles in parallel lines. The first section covers different types of quadrilaterals and their properties. There is a short exercise where students practise choosing the correct type(s) of quadrilateral based on the information given. The second section begins with the result for the sum of angles in a quadrilateral. There are then some examples of finding angles - these are to be completed with your class. The exercise that follows is for students to attempt themselves. Answers to both exercises are included.

This worksheet focuses on using the sum of angles in a triangle to find missing angles. It assumes that students are already familiar with angles on a straight line, vertically opposite angles, and angles in parallel lines. The first section covers all the different types of triangles and their properties. There is a short exercise where students practise choosing the correct type(s) of triangle based on the information given. The second section begins with the result for the sum of angles in a triangle, including a proof using angles on a straight line. There are then some examples of finding angles - these are to be completed with your class. The exercise that follows is for students to attempt themselves. Answers to both exercises are included.

This simple worksheet is a good way to introduce/review angles in parallel lines. It begins with diagrams of corresponding, alternate and allied (supplementary) angles, then there are some examples to work through with your class. On the second page there is a short exercise with similar problems for the class to do themselves. Answers to the exercise are included.

This simple worksheet focuses on using the following 3 rules for working out angles: 1. sum of angles on a straight line = 180 2. sum of angles at a point = 360 3. vertically opposite angles are equal It begins with brief revision of the names for different sizes of angles and then there is a section for each of the 3 rules. Each section contains some example questions to work through with your class and then there is a short exercise for them to complete. At the end there is an exercise of mixed questions to practise using all 3 rules. Answers to the exercises are included. I used this sheet with my (bottom set) year 10 group. The idea was that printing/projecting the sheet would save me (and them) having to write out any examples/diagrams as notes, so that time is saved and they can focus on answering questions. After completing the sheet the class were ready to attempt additional exercises from a textbook.

I have used this resource a few times with my classes to cover the whole topic of groups. This 24-page worksheet covers all the required knowledge and skills for FP3. Each section starts with introductory notes or examples, followed by an exercise for students to attempt. The sections are: 1. Sets, binary operations, closed/commutative/closed operations, identity elements and inverses. 2. Groups - definition of a group, order of a group, group tables 3. Multiplicative groups and cancellation laws 4. Groups using modular arithmetic 5.Symmetries of shapes 6. The order of an element 7. Cyclic groups and generators 8. Subgroups 9. Lagrange's theorem 10. Isomorphic groups The completed worksheet with all notes, examples and exercises completed (with fully-worked solutions) is also included.

This 12 page resource covers the solution of 2nd order differential equations by finding the roots of its auxiliary equation, and its particular integral. The first section focuses on cases where the auxiliary equation has real roots (distinct or repeated). It begins by concentrating on finding only the complementary function - there are several examples to work through with your class and then an exercise with 14 questions for students to attempt. There are then a few examples that involve finding both the complementary function and the particular integral. The second section focuses on cases where the auxiliary equation has complex roots (a+/-bi or +/-bi). There are several examples to work through with your class and then an exercise with 18 questions for students to attempt. The exercise includes questions where students are required to consider the behaviour of the solution (bounded/unbounded oscillations) when x becomes large, as well as the function to which the solution approximates when x becomes large. Answers to both exercises are included.

This resource can be used to guide your students through the different techniques that may be used to solve some first order differential equations. It begins with a reminder about the solution of 'variable separable' equations, with a couple of examples to work through. By means of an example, the next section shows how the use of an integrating factor can help to solve 1st order linear diff.eqns. After the method is summarised there are a further 2 examples to work through with your class. The worksheet then mentions the use of a substitution to simplify a complex diff.eqn into either a linear or variable separable one. There are no examples of such equations, just a table for students to practise determining if the resulting simplified equation is linear or variable separable. The remainder of the resource introduces the important method of finding the general solution by adding the complementary function and the particular integral. It begins with the method for finding the complementary function from the auxiliary equation, and then goes on to explain the method for testing a suitable function f(x) for the particular integral (including the case where the function f(x) appears in the complementary function). There are several examples of this method to work through with your students, followed by an exercise with over 20 questions for students to complete themselves. Answers to the exercise are included.

This worksheet covers how to solve single and double-sided inequalities and includes representing the solution on a number line as well as considering examples where integer solutions are required. The introduction covers what the solution to a linear inequality should look like and, by means of a few examples, explores the similarities and differences between solving equations and inequalities. The first exercise (52 Qs) then gives students practice solving inequalties of the form ax+b>c, x/a+b The second section focuses on double-sided inequalities such as 3 The final section is designed to help students consider the integer solutions to an inequality. In the examples students need to find the smallest possible integer value of n if n>p, the largest possible integer value of n if n Answers to all the exercises are provided, including the solutions on number lines. Also included is a homework/test with fully worked solutions.

These resources will give your class plenty of practice of using the factor theorem and the common questions that follow finding a factor of a cubic polynomial. The first resource focuses on showing that (ax+b) is a factor of f(x) and then using it to write f(x) as a product of a linear and quadratic factor. There is an example to work through as a group and then an exercise with 14 questions - answers are provided. The second resource has 2 sections. The first section focuses on factorising cubics fully, either as a product of a linear and quadratic factor, or as a product of 3 linear factors. The second section focuses on solving f(x)=0 and, in later questions, relates the solutions to the graph of f(x). In total there are 26 questions - answers are provided.

This simple worksheet can be used to introduce/practise using number lines to represent inequalities. The worksheet starts with a reminder about the different inequality symbols and what they mean. There are then a few examples (to do with your students) of representing inequalities on number lines and writing down the inequalities represented by given diagrams. There is a short exercise with 16 of each type of question - answers are included.